On Monday, 540 more men than women attended a concert. On Tuesday, the number of men decreased by 50% and the number of women increased by 80%. 1374 audience attended the concert on Tuesday. If each ticket cost $18, how much money was collected from the sale of concert tickets on Monday?
|
Men |
Women |
Comparing between the men and the women at first |
540 more |
|
Before |
2x5 |
+ 540 |
5x2 |
Change |
- 1x5 |
- 270 |
+ 4x2 |
After |
1x5 |
+ 270 |
9x2 |
|
Men |
Women |
Before |
10 u + 540 |
10 u |
Change |
- 5 u - 270 |
+ 8 u |
After |
5 u + 270 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 540
=
50100 x 540
= 270
540 - 270 = 270
Total number of tickets sold on Tuesday
= 5 u + 270 + 18 u
= 23 u + 270
23 u + 270 = 1374
23 u = 1374 - 270
23 u = 1104
1 u = 1104 ÷ 23 = 48
Total number of tickets sold on Monday
= 10 u + 540 + 10 u
= 20 u + 540
= 20 x 48 + 270
= 1230
Amount collected from the sale of concert tickets on Monday
= 1230 x 18
= $22140
Answer(s): $22140